10100220000 has 480 divisors, whose sum is σ = 37296661248. Its totient is φ = 2373888000.

The previous prime is 10100219999. The next prime is 10100220001. The reversal of 10100220000 is 2200101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10100219999) and next prime (10100220001).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100220001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17939719 + ... + 17940281.

Almost surely, 2^10100220000 is an apocalyptic number.

10100220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648330624).

10100220000 is an abundant number, since it is smaller than the sum of its proper divisors (27196441248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100220000 is a wasteful number, since it uses less digits than its factorization.

10100220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10100220000 its reverse (2200101), we get a palindrome (10102420101).

The spelling of 10100220000 in words is "ten billion, one hundred million, two hundred twenty thousand".